<p>When <img alt="$n$" height="8" src="https://latex.artofproblemsolving.com/1/7/4/174fadd07fd54c9afe288e96558c92e0c1da733a.png" width="10" /> standard six-sided dice are rolled, the product of the numbers rolled can be any of <img alt="$936$" height="14" src="https://latex.artofproblemsolving.com/a/7/3/a7351475ee7563d59c7ff05e1e0afadbdf23dd60.png" width="29" /> the possible values. What is <img alt="$n$" height="8" src="https://latex.artofproblemsolving.com/1/7/4/174fadd07fd54c9afe288e96558c92e0c1da733a.png" width="10" />?</p>

Question No: 351

When $n$ standard six-sided dice are rolled, the product of the numbers rolled can be any of $936$ the possible values. What is $n$ ?

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Tags: Algebra Combinatorics

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